Theorems · Theorem · complex analysis
Complex.slitPlane_ne_zero
∀ {z : ℂ}, z ∈ Complex.slitPlane → z ≠ 0- Defined in
- Mathlib.Analysis.Complex.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Complexstatement and proof · cited by 5,565
- Complex.slitPlanestatement and proof · cited by 113
- Complex.zero_notMem_slitPlaneproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- Complex.hasStrictDerivAt_logproof · cited by 8
- continuousAt_cpowproof · cited by 4
- Complex.continuousAt_argproof · cited by 3
- Complex.hasStrictFDerivAt_cpowproof · cited by 3
- Complex.continuousOn_one_add_mul_invproof · cited by 3
- continuousAt_clogproof · cited by 2
- AnalyticWithinAt.cpowproof · cited by 2
- Complex.hasDerivAt_log_sub_logTaylorproof · cited by 1